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315215190 = 232517212119
BaseRepresentation
bin10010110010011…
…100110101010110
3210222010120221200
4102302130311112
51121143341230
651140053330
710545166503
oct2262346526
9728116850
10315215190
11151a26924
1289694246
13503c7384
142dc144aa
151ca17160
hex12c9cd56

315215190 has 72 divisors (see below), whose sum is σ = 870676560. Its totient is φ = 79106304.

The previous prime is 315215179. The next prime is 315215203. The reversal of 315215190 is 91512513.

315215190 is a `hidden beast` number, since 3 + 1 + 521 + 51 + 90 = 666.

It is a super-2 number, since 2×3152151902 = 198721232013472200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19951 + ... + 32069.

It is an arithmetic number, because the mean of its divisors is an integer number (12092730).

Almost surely, 2315215190 is an apocalyptic number.

315215190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315215190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435338280).

315215190 is an abundant number, since it is smaller than the sum of its proper divisors (555461370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

315215190 is a wasteful number, since it uses less digits than its factorization.

315215190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12166 (or 12146 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 315215190 is about 17754.3006057687. The cubic root of 315215190 is about 680.5641152245.

The spelling of 315215190 in words is "three hundred fifteen million, two hundred fifteen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2601 2890 4335 5202 8670 12119 13005 24238 26010 36357 60595 72714 109071 121190 181785 206023 218142 363570 412046 545355 618069 1030115 1090710 1236138 1854207 2060230 3090345 3502391 3708414 6180690 7004782 9271035 10507173 17511955 18542070 21014346 31521519 35023910 52535865 63043038 105071730 157607595 315215190